The doubling function (y = y base0 2^(1/D)) can be used to model exponential growth when the doubling time is D. The bacterium Escherichia coli has a doubling period of 0.32 h. A culture of E. coli starts with 100 bacteria.
a) Determine the equation for the number of bacteria, y, in x hours.
b) Graph your equation
c) Graph the inverse
d) Determine the equation of the inverse. What does this equation represent?
e) How many hours will it take for there to be 450 bacteria in the culture? Explain your strategy.
Can somebody please check my answers? 1. Identify the initial amount a and the growth factor b in the exponential function. g(x)=14*2^x a)a=14, b=x b)a=14, b=2 <<<< c)a=28, b=1 d)a=28, b=x 2. Identify the initial
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7% per hour. How many hours does it take for the size of the sample to double? Note:
The Mexican long-tongued bat population is an endangered species, which decreases at a rate of 3.5% per year in a wildlife preserve that currently has 80 of them. What type of function will model the population? A)constant
f) Suppose you started with 100 bacteria, but they still grew by the same growth factor. Explain how your exponential equation in (b) would change. y=1*3x**** b) is Bacteria name: Staphylococcus aureus Generation Time: 30 minutes
In 1990, the population of Africa was 643 million and by 2000 it had grown to 813 million. a.) Use the exponential growth model A=A0 e^kt, in which t is the number of years after 1990, to find the exponential growth function that
Explain the main point concerning exponential growth and whether it is good or bad. Compare exponential growth to a logistic growth curve and explain how these might apply to human population growth. What promotes exponential
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1000 bacteria selected from this population reached the size of 1274 bacteria in five hours.
The value of Sara's new car decreases at a rate of 8% each year. 1.Write an exponential function to model the decrease in the car's value each month. 2.Write an exponential function to model the decrease in the car's value each